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Simulating a dynamical system

Simulating a dynamical system

Simulating a dynamical system

(OP)
I have a question I am trying to figure out how to approach. My Matlab code is not outputting as I would like. Is there any way I can get some help modeling this system?

Consider a linear dynamic time invariant system given by:
π‘₯ = 𝐴π‘₯ + 𝐡𝑒
where
𝐴 =
[βˆ’0.045 0.036 0 βˆ’32.2
βˆ’0.369 βˆ’2.02 176 0
0.0019 βˆ’0.0396 βˆ’2.948 0
0 0 1 0]
𝐡 =
[0 39.6429
28.1464 0
βˆ’12.0182 0
0 0]
Task
1: Simulate the dynamical system for the state variables
1. π‘₯(0) = [0,0,0,0]^T
2. π‘₯(0) = [1,0,1,0]^T

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